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Related papers: Signature-Based Abduction with Fresh Individuals a…

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Signature-based abduction aims at building hypotheses over a specified set of names, the signature, that explain an observation relative to some background knowledge. This type of abduction is useful for tasks such as diagnosis, where the…

Artificial Intelligence · Computer Science 2020-07-09 Patrick Koopmann , Warren Del-Pinto , Sophie Tourret , Renate A. Schmidt

Abduction is the task of computing a sufficient extension of a knowledge base (KB) that entails a conclusion not entailed by the original KB. It serves to compute explanations, or hypotheses, for such missing entailments. While this task…

Logic in Computer Science · Computer Science 2025-07-30 Anselm Haak , Patrick Koopmann , Yasir Mahmood , Anni-Yasmin Turhan

Given a knowledge base (KB) with a non-entailed fact, the ABox abduction problem asks for possible extensions of the KB that would entail this fact. This problem has many applications, ranging from diagnosis to explainability and repair.…

Logic in Computer Science · Computer Science 2026-05-05 Anselm Haak , Patrick Koopmann , Yasir Mahmood , Anni-Yasmin Turhan

Abductive reasoning generates explanatory hypotheses for new observations using prior knowledge. This paper investigates the use of forgetting, also known as uniform interpolation, to perform ABox abduction in description logic (ALC)…

Artificial Intelligence · Computer Science 2018-11-14 Warren Del-Pinto , Renate A. Schmidt

Abductive reasoning is a popular non-monotonic paradigm that aims to explain observed symptoms and manifestations. It has many applications, such as diagnosis and planning in artificial intelligence and database updates. In propositional…

Artificial Intelligence · Computer Science 2026-01-14 Johannes Schmidt , Mohamed Maizia , Victor Lagerkvist , Johannes K. Fichte

In this paper we investigate the complexity of abduction, a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining the world's behavior it aims at finding an explanation for some observed manifestation.…

Computational Complexity · Computer Science 2010-06-28 Nadia Creignou , Johannes Schmidt , Michael Thomas

Abduction is one of the most important forms of reasoning; it has been successfully applied to several practical problems such as diagnosis. In this paper we investigate whether the computational complexity of abduction can be reduced by an…

Artificial Intelligence · Computer Science 2007-07-25 Paolo Liberatore , Marco Schaerf

Concept Induction refers to the problem of creating complex Description Logic class descriptions (i.e., TBox axioms) from instance examples (i.e., ABox data). In this paper we look particularly at the case where both a set of positive and a…

Artificial Intelligence · Computer Science 2018-12-11 Md Kamruzzaman Sarker , Pascal Hitzler

We propose an abductive diagnosis theory that integrates probabilistic, causal and taxonomic knowledge. Probabilistic knowledge allows us to select the most likely explanation; causal knowledge allows us to make reasonable independence…

Artificial Intelligence · Computer Science 2013-04-05 Dekang Lin , Randy Goebel

Abduction in description logics finds extensions of a knowledge base to make it entail an observation. As such, it can be used to explain why the observation does not follow, to repair incomplete knowledge bases, and to provide possible…

Artificial Intelligence · Computer Science 2022-05-23 Fajar Haifani , Patrick Koopmann , Sophie Tourret , Christoph Weidenbach

Abductive reasoning (or Abduction, for short) is among the most fundamental AI reasoning methods, with a broad range of applications, including fault diagnosis, belief revision, and automated planning. Unfortunately, Abduction is of high…

Artificial Intelligence · Computer Science 2013-04-23 Andreas Pfandler , Stefan Rümmele , Stefan Szeider

Abductive reasoning - the search for plausible explanations - has long been central to human inquiry, from forensics to medicine and scientific discovery. Yet formal approaches in AI have largely reduced abduction to eliminative search:…

Artificial Intelligence · Computer Science 2025-12-23 Remo Pareschi

We develop a model of abduction in abstract argumentation, where changes to an argumentation framework act as hypotheses to explain the support of an observation. We present dialogical proof theories for the main decision problems (i.e.,…

Artificial Intelligence · Computer Science 2014-07-16 Richard Booth , Dov Gabbay , Souhila Kaci , Tjitze Rienstra , Leendert van der Torre

Abduction is a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining how the world behaves it aims at finding an explanation for some observed manifestation. In this paper we focus on propositional…

Computational Complexity · Computer Science 2010-06-29 Nadia Creignou , Johannes Schmidt , Michael Thomas

Juba recently proposed a formulation of learning abductive reasoning from examples, in which both the relative plausibility of various explanations, as well as which explanations are valid, are learned directly from data. The main…

Artificial Intelligence · Computer Science 2017-11-28 Brendan Juba , Zongyi Li , Evan Miller

Application of machine learning may be understood as deriving new knowledge for practical use through explaining accumulated observations, training set. Peirce used the term abduction for this kind of inference. Here I formalize the concept…

Artificial Intelligence · Computer Science 2023-01-03 Marina Sapir

Logic-based abduction finds important applications in artificial intelligence and related areas. One application example is in finding explanations for observed phenomena. Propositional abduction is a restriction of abduction to the…

Artificial Intelligence · Computer Science 2016-04-29 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

Description logic Knowledge and Action Bases (KAB) are a mechanism for providing both a semantically rich representation of the information on the domain of interest in terms of a description logic knowledge base and actions to change such…

Artificial Intelligence · Computer Science 2014-02-05 Babak Bagheri Hariri , Diego Calvanese , Marco Montali , Giuseppe De Giacomo , Riccardo De Masellis , Paolo Felli

The capability to store data about business processes execution in so-called Event Logs has brought to the diffusion of tools for the analysis of process executions and for the assessment of the goodness of a process model. Nonetheless,…

We address the problem of propositional logic-based abduction, i.e., the problem of searching for a best explanation for a given propositional observation according to a given propositional knowledge base. We give a general algorithm, based…

Artificial Intelligence · Computer Science 2011-06-28 B. Zanuttini
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